Concepedia

Fundamental Groupoid

The Fundamental Groupoid is a category whose objects are the points of a topological space and whose morphisms are homotopy classes of paths between points, thereby generalizing the fundamental group by capturing all basepoint-relative homotopy information in a single structure.

116

Publications

5K

Citations

151

Authors

115

Institutions

Publications per year

2017–2026

12

Parents

Publications

116

DISTRIBUTIVE GROUPOIDS IN KNOT THEORY

Sergey V. Matveev · Mathematics of the USSR-Sbornik · 1984 · 477 citations

, , +11

Galois symmetries of fundamental groupoids and noncommutative geometry

A. B. Goncharov · Duke Mathematical Journal · 2005 · 314 citations · Full text

, , +14

On the Fundamental Group of an Algebraic Curve

Egbert R. Van Kampen · American Journal of Mathematics · 1933 · 245 citations

, , +10

G-groupoids, crossed modules and the fundamental groupoid of a topological group

Ronald Brown, Christopher B. Spencer · Indagationes Mathematicae (Proceedings) · 1976 · 224 citations

, , +12

Orbifolds as Groupoids: an Introduction

Ieke Moerdijk · ArXiv.org · 2002 · 159 citations · Full text

, , +12

1–5 of 116

Authors

151

  1. RB
    Ronald Brown

    Bangor University, United Kingdom

    12 publications · 590 citations

    11

    h-index

  2. PJ
    Philip J. Higgins

    Durham University, United Kingdom

    3 publications · 61 citations

    3

    h-index

  3. IM
    Ieke Moerdijk

    Utrecht University, Netherlands

    3 publications · 293 citations

    3

    h-index

  4. MT
    Mina Teicher

    Bar-Ilan University, Israel

    3 publications · 48 citations

    3

    h-index

  5. KE
    Katsuya Eda

    Waseda University, Japan

    3 publications · 92 citations

    3

    h-index

1–5 of 151

Institutions

115

  1. Bangor University

    Bangor, United Kingdom

    7 h-index

    8 publications

    276 citations

  2. University of Iowa

    Iowa City, United States

    5 h-index

    6 publications

    413 citations

  3. Bar-Ilan University

    Ramat Gan, Israel

    4 h-index

    7 publications

    122 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    4 publications

    89 citations

  5. Tata Institute of Fundamental Research

    Mumbai, India

    3 h-index

    4 publications

    270 citations

  6. Durham University

    Durham, United Kingdom

    3 h-index

    3 publications

    135 citations

  7. Instituto Superior Técnico

    Lisbon, Portugal

    3 h-index

    3 publications

    207 citations

  8. Waseda University

    Tokyo, Japan

    3 h-index

    3 publications

    92 citations

1–8 of 115

Venues

  1. Journal of Pure and Applied Algebra

    11 publications · 339 citations

    11

    h-index

  2. Topology and its Applications

    7 publications · 176 citations

    7

    h-index

  3. ArXiv.org

    Repository · 7 publications · 349 citations

    7

    h-index

  4. arXiv (Cornell University)

    Repository · 5 publications · 107 citations

    5

    h-index

  5. Inventiones mathematicae

    4 publications · 293 citations

    4

    h-index

1–5